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Volume 18, Issue 4
Least-Squares Mixed Finite Element Method for Saddle-Point Problem

Lie-Heng Wang & Huo-Yuan Duan

J. Comp. Math., 18 (2000), pp. 353-364.

Published online: 2000-08

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  • Abstract

In this paper, a least-squares mixed finite element method for the solution of the primal saddle-point problem is developed. It is proved that the approximate problem is consistent ellipticity in the conforming finite element spaces with only the discrete BB-condition needed for a smaller auxiliary problem. The abstract error estimate is derived.

  • Keywords

least-squares method, mixed finite element approximation, saddle-point problem.

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COPYRIGHT: © Global Science Press

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@Article{JCM-18-353, author = {Wang , Lie-Heng and Duan , Huo-Yuan}, title = {Least-Squares Mixed Finite Element Method for Saddle-Point Problem}, journal = {Journal of Computational Mathematics}, year = {2000}, volume = {18}, number = {4}, pages = {353--364}, abstract = {

In this paper, a least-squares mixed finite element method for the solution of the primal saddle-point problem is developed. It is proved that the approximate problem is consistent ellipticity in the conforming finite element spaces with only the discrete BB-condition needed for a smaller auxiliary problem. The abstract error estimate is derived.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9048.html} }
TY - JOUR T1 - Least-Squares Mixed Finite Element Method for Saddle-Point Problem AU - Wang , Lie-Heng AU - Duan , Huo-Yuan JO - Journal of Computational Mathematics VL - 4 SP - 353 EP - 364 PY - 2000 DA - 2000/08 SN - 18 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/9048.html KW - least-squares method, mixed finite element approximation, saddle-point problem. AB -

In this paper, a least-squares mixed finite element method for the solution of the primal saddle-point problem is developed. It is proved that the approximate problem is consistent ellipticity in the conforming finite element spaces with only the discrete BB-condition needed for a smaller auxiliary problem. The abstract error estimate is derived.

Wang , Lie-Heng and Duan , Huo-Yuan. (2000). Least-Squares Mixed Finite Element Method for Saddle-Point Problem. Journal of Computational Mathematics. 18 (4). 353-364. doi:
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